Profiling results ----------------- Total cpu time observed: 13324ms (out of 13608ms) Number of samples taken: 64 (once every 208ms) ======================================================================= Caller Idx Total Self Name+src Local% ms(pct) ms(pct) Callee ======================================================================= ??? [31] 100.0% [1] 12922(97.0%) 0(0.0%) profile-thunk14 ...t/pkgs/profile-lib/main.rkt:9:0 run [6] 100.0% ----------------------------------------------------------------------- ??? [31] 100.0% [2] 7050(52.9%) 0(0.0%) run-improve58 ...ock/herbie/src/mainloop.rkt:242:0 for-loop [7] 64.1% finalize-table! [9] 32.8% get-final-combination [12] 3.1% ----------------------------------------------------------------------- loop [80] 6.0% ??? [31] 94.0% [3] 3668(27.5%) 0(0.0%) simplify ...lock/herbie/src/core/simplify.rkt:39:0 simplify-expr [8] 83.0% for-loop [11] 11.5% iterate-egraph!5 [14] 5.5% ----------------------------------------------------------------------- hash-ref! [69] 100.0% [4] 864(6.5%) 0(0.0%) ??? .../ztatlock/herbie/src/core/taylor.rkt:285:26 for-loop [10] 100.0% ----------------------------------------------------------------------- loop [80] 100.0% [5] 442(3.3%) 0(0.0%) completely-simplify-alt ...erbie/src/glue.rkt:87:0 simplify-expr [8] 100.0% ----------------------------------------------------------------------- profile-thunk14 [1] 100.0% [6] 12922(97.0%) 0(0.0%) run ...share/racket/pkgs/profile-lib/main.rkt:31:2 ??? [31] 100.0% ----------------------------------------------------------------------- run-improve58 [2] 100.0% [7] 4518(33.9%) 0(0.0%) for-loop ...ztatlock/herbie/src/mainloop.rkt:253:8 run-iter! [13] 100.0% ----------------------------------------------------------------------- completely-simplify-alt [5] 12.7% simplify [3] 87.3% [8] 3488(26.2%) 0(0.0%) simplify-expr ...herbie/src/core/simplify.rkt:68:0 iterate-egraph!5 [14] 100.0% ----------------------------------------------------------------------- run-improve58 [2] 100.0% [9] 2312(17.4%) 0(0.0%) finalize-table! ...k/herbie/src/mainloop.rkt:264:0 post-process [15] 100.0% ----------------------------------------------------------------------- ??? [4] 100.0% [10] 864(6.5%) 0(0.0%) for-loop ...lock/herbie/src/core/taylor.rkt:285:52 hash-ref! [69] 100.0% ----------------------------------------------------------------------- simplify [3] 100.0% [11] 422(3.2%) 0(0.0%) for-loop ...ock/herbie/src/core/simplify.rkt:61:12 iterate-egraph!5 [14] 100.0% ----------------------------------------------------------------------- run-improve58 [2] 100.0% [12] 220(1.7%) 0(0.0%) get-final-combination ...ie/src/mainloop.rkt:269:0 extract-alt [16] 100.0% ----------------------------------------------------------------------- for-loop [7] 100.0% [13] 4518(33.9%) 0(0.0%) run-iter! ...tatlock/herbie/src/mainloop.rkt:223:0 simplify! [18] 76.3% gen-series! [20] 10.2% finalize-iter! [21] 9.0% choose-best-alt! [24] 4.5% ----------------------------------------------------------------------- simplify [3] 4.9% for-loop [11] 10.3% simplify-expr [8] 84.9% [14] 4110(30.8%) 0(0.0%) iterate-egraph!5 ...bie/src/core/simplify.rkt:95:0 one-iter [17] 94.6% map-enodes [23] 5.4% ----------------------------------------------------------------------- finalize-table! [9] 100.0% [15] 2312(17.4%) 0(0.0%) post-process .../ztatlock/herbie/src/glue.rkt:95:0 for-loop [19] 61.8% loop [80] 19.1% localize-error [22] 9.6% ??? [29] 9.5% ----------------------------------------------------------------------- get-final-combination [12] 100.0% [16] 220(1.7%) 0(0.0%) extract-alt ...e/ztatlock/herbie/src/glue.rkt:57:0 loop [80] 100.0% ----------------------------------------------------------------------- iterate-egraph!5 [14] 100.0% [17] 3888(29.2%) 0(0.0%) one-iter ...ock/herbie/src/core/simplify.rkt:106:0 for-loop [26] 52.1% loop [27] 37.1% apply-match [33] 10.8% ----------------------------------------------------------------------- run-iter! [13] 100.0% [18] 3448(25.9%) 0(0.0%) simplify! ...tatlock/herbie/src/mainloop.rkt:162:0 for-loop [25] 100.0% ----------------------------------------------------------------------- post-process [15] 100.0% [19] 1428(10.7%) 0(0.0%) for-loop /home/ztatlock/herbie/src/glue.rkt:119:17 append-map [28] 100.0% ----------------------------------------------------------------------- run-iter! [13] 100.0% [20] 462(3.5%) 0(0.0%) gen-series! ...tlock/herbie/src/mainloop.rkt:134:0 for-loop [30] 100.0% ----------------------------------------------------------------------- run-iter! [13] 100.0% [21] 406(3.0%) 0(0.0%) finalize-iter! ...ck/herbie/src/mainloop.rkt:177:0 ??? [29] 100.0% ----------------------------------------------------------------------- post-process [15] 100.0% [22] 222(1.7%) 0(0.0%) localize-error ...erbie/src/core/localize.rkt:47:0 hash-ref! [69] 100.0% ----------------------------------------------------------------------- iterate-egraph!5 [14] 100.0% [23] 222(1.7%) 0(0.0%) map-enodes ...ock/herbie/src/core/egraph.rkt:139:0 loop [80] 100.0% ----------------------------------------------------------------------- run-iter! [13] 100.0% [24] 202(1.5%) 0(0.0%) choose-best-alt! .../herbie/src/mainloop.rkt:120:0 ??? [29] 100.0% ----------------------------------------------------------------------- simplify! [18] 100.0% [25] 3448(25.9%) 0(0.0%) for-loop ...ztatlock/herbie/src/mainloop.rkt:166:6 ??? [31] 100.0% ----------------------------------------------------------------------- for-loop [26] 50.0% one-iter [17] 50.0% [26] 2024(15.2%) 400(3.0%) for-loop ...ck/herbie/src/core/simplify.rkt:116:12 for-loop [26] 50.0% match-e [34] 35.2% ??? [37] 4.9% ----------------------------------------------------------------------- one-iter [17] 100.0% [27] 1444(10.8%) 218(1.6%) loop ...cket/collects/racket/private/map.rkt:53:19 apply-match [33] 84.9% ----------------------------------------------------------------------- for-loop [19] 100.0% [28] 1428(10.7%) 0(0.0%) append-map ...acket/collects/racket/list.rkt:565:2 taylor-alt [32] 86.0% loop [80] 14.0% ----------------------------------------------------------------------- choose-best-alt! [24] 24.4% post-process [15] 26.6% finalize-iter! [21] 49.0% [29] 828(6.2%) 0(0.0%) ??? ...contract/private/arrow-val-first.rkt:357:18 for-loop [35] 75.6% atab-pick-alt8 [36] 24.4% ----------------------------------------------------------------------- gen-series! [20] 100.0% [30] 462(3.5%) 0(0.0%) for-loop ...ztatlock/herbie/src/mainloop.rkt:140:7 taylor-alt [32] 100.0% ----------------------------------------------------------------------- for-loop [25] 8.9% run [6] 44.4% [31] 13324(100.0%) 0(0.0%) ??? ...lects/racket/private/more-scheme.rkt:261:28 profile-thunk14 [1] 44.4% loop [38] 23.5% run-improve58 [2] 23.2% simplify [3] 8.9% ----------------------------------------------------------------------- loop [80] 10.6% for-loop [30] 24.4% append-map [28] 65.0% [32] 1890(14.2%) 0(0.0%) taylor-alt ...e/ztatlock/herbie/src/glue.rkt:142:0 for-loop [39] 100.0% ----------------------------------------------------------------------- one-iter [17] 25.5% loop [27] 74.5% [33] 1646(12.4%) 0(0.0%) apply-match .../herbie/src/core/simplify.rkt:122:2 merge-egraph-nodes! [40] 50.2% loop! [82] 25.5% update-leader! [50] 12.2% for-loop [47] 12.2% ----------------------------------------------------------------------- for-loop [46] 7.0% for-loop [26] 93.0% [34] 1424(10.7%) 622(4.7%) match-e ...tatlock/herbie/src/core/ematch.rkt:46:0 for-loop [42] 35.3% constant? [45] 14.0% for-loop [46] 7.0% ----------------------------------------------------------------------- ??? [29] 100.0% [35] 626(4.7%) 0(0.0%) for-loop ...ock/herbie/src/core/alt-table.rkt:51:2 atab-add-altn [41] 100.0% ----------------------------------------------------------------------- ??? [29] 100.0% [36] 202(1.5%) 0(0.0%) atab-pick-alt8 ...rbie/src/core/alt-table.rkt:54:0 ??? [43] 100.0% ----------------------------------------------------------------------- for-loop [26] 100.0% [37] 200(1.5%) 0(0.0%) ??? /home/ztatlock/herbie/src/core/ematch.rkt:50:5 for-loop [44] 100.0% ----------------------------------------------------------------------- ??? [31] 100.0% [38] 6274(47.1%) 0(0.0%) loop /home/ztatlock/herbie/src/points.rkt:122:2 loop [48] 58.5% make-exacts* [54] 25.9% loop [55] 15.6% ----------------------------------------------------------------------- taylor-alt [32] 100.0% [39] 1890(14.2%) 0(0.0%) for-loop /home/ztatlock/herbie/src/glue.rkt:144:2 location-do [49] 100.0% ----------------------------------------------------------------------- apply-match [33] 100.0% [40] 826(6.2%) 0(0.0%) merge-egraph-nodes! ...e/src/core/egraph.rkt:152:0 update-leader! [50] 73.4% enode-merge! [52] 26.6% ----------------------------------------------------------------------- for-loop [35] 100.0% [41] 626(4.7%) 0(0.0%) atab-add-altn ...rbie/src/core/alt-table.rkt:208:0 best-and-tied-at-points [51] 100.0% ----------------------------------------------------------------------- match-e [34] 100.0% [42] 602(4.5%) 402(3.0%) for-loop ...tlock/herbie/src/core/ematch.rkt:59:11 loop [80] 33.2% ----------------------------------------------------------------------- atab-pick-alt8 [36] 100.0% [43] 202(1.5%) 0(0.0%) ??? ...tract/private/arrow-higher-order.rkt:369:33 best-alt [53] 100.0% ----------------------------------------------------------------------- ??? [37] 100.0% [44] 200(1.5%) 200(1.5%) for-loop ...atlock/herbie/src/core/ematch.rkt:51:7 ----------------------------------------------------------------------- match-e [34] 100.0% [45] 200(1.5%) 200(1.5%) constant? ...ck/herbie/src/syntax/syntax.rkt:221:0 ----------------------------------------------------------------------- match-e [34] 100.0% [46] 200(1.5%) 0(0.0%) for-loop ...tlock/herbie/src/core/ematch.rkt:65:37 match-e [34] 100.0% ----------------------------------------------------------------------- apply-match [33] 100.0% [47] 200(1.5%) 0(0.0%) for-loop ...ck/herbie/src/core/simplify.rkt:136:10 loop! [82] 100.0% ----------------------------------------------------------------------- loop [38] 100.0% [48] 3668(27.5%) 0(0.0%) loop /home/ztatlock/herbie/src/points.rkt:93:2 make-exacts* [54] 59.5% loop [55] 40.5% ----------------------------------------------------------------------- location-do [49] 43.0% for-loop [39] 57.0% [49] 1890(14.2%) 0(0.0%) location-do ...tlock/herbie/src/programs.rkt:129:0 approximate9 [56] 57.0% location-do [49] 43.0% ----------------------------------------------------------------------- apply-match [33] 24.8% merge-egraph-nodes! [40] 75.2% [50] 806(6.0%) 0(0.0%) update-leader! ...herbie/src/core/egraph.rkt:217:0 for-loop [57] 100.0% ----------------------------------------------------------------------- atab-add-altn [41] 100.0% [51] 626(4.7%) 0(0.0%) best-and-tied-at-points ...ore/alt-table.rkt:122:0 errors [66] 67.7% for-loop [59] 32.3% ----------------------------------------------------------------------- merge-egraph-nodes! [40] 100.0% [52] 220(1.7%) 0(0.0%) enode-merge! ...ck/herbie/src/core/enode.rkt:100:0 adopt-enode! [58] 100.0% ----------------------------------------------------------------------- ??? [43] 100.0% [53] 202(1.5%) 0(0.0%) best-alt /home/ztatlock/herbie/src/glue.rkt:79:0 argmins [60] 100.0% ----------------------------------------------------------------------- loop [38] 42.7% loop [48] 57.3% [54] 3808(28.6%) 0(0.0%) make-exacts* ...tatlock/herbie/src/points.rkt:80:0 map [61] 51.7% loop [80] 48.3% ----------------------------------------------------------------------- loop [38] 39.7% loop [48] 60.3% [55] 2466(18.5%) 0(0.0%) loop /home/ztatlock/herbie/src/points.rkt:83:4 map [61] 100.0% ----------------------------------------------------------------------- location-do [49] 100.0% [56] 1890(14.2%) 0(0.0%) approximate9 ...ck/herbie/src/core/taylor.rkt:11:0 loop [62] 89.4% f94 [78] 10.6% ----------------------------------------------------------------------- update-leader! [50] 100.0% [57] 806(6.0%) 0(0.0%) for-loop ...tlock/herbie/src/core/egraph.rkt:222:6 for-loop [63] 100.0% ----------------------------------------------------------------------- enode-merge! [52] 100.0% [58] 220(1.7%) 220(1.7%) adopt-enode! ...ock/herbie/src/core/enode.rkt:76:0 ----------------------------------------------------------------------- best-and-tied-at-points [51] 100.0% [59] 202(1.5%) 202(1.5%) for-loop ...k/herbie/src/core/alt-table.rkt:124:16 ----------------------------------------------------------------------- best-alt [53] 100.0% [60] 202(1.5%) 0(0.0%) argmins /home/ztatlock/herbie/src/common.rkt:85:0 composed [64] 100.0% ----------------------------------------------------------------------- f94 [78] 4.1% parse-loop50 [77] 4.6% make-exacts* [54] 40.6% loop [55] 50.8% [61] 4858(36.5%) 0(0.0%) map ...acket/collects/racket/private/map.rkt:21:13 loop [80] 91.3% ??? [67] 4.6% taylor-sqrt [68] 4.1% ----------------------------------------------------------------------- approximate9 [56] 100.0% [62] 1690(12.7%) 0(0.0%) loop ...e/ztatlock/herbie/src/core/taylor.rkt:82:4 hash-ref! [69] 100.0% ----------------------------------------------------------------------- for-loop [57] 100.0% [63] 806(6.0%) 0(0.0%) for-loop ...tlock/herbie/src/core/egraph.rkt:223:8 hash-update! [65] 100.0% ----------------------------------------------------------------------- argmins [60] 100.0% [64] 202(1.5%) 0(0.0%) composed ...ollects/racket/private/list.rkt:321:16 errors [66] 100.0% ----------------------------------------------------------------------- for-loop [63] 100.0% [65] 806(6.0%) 0(0.0%) hash-update! ...ket/private/more-scheme.rkt:362:13 ??? [70] 100.0% ----------------------------------------------------------------------- composed [64] 32.3% best-and-tied-at-points [51] 67.7% [66] 626(4.7%) 0(0.0%) errors /home/ztatlock/herbie/src/points.rkt:144:0 eval-prog [71] 67.4% for-loop [72] 32.6% ----------------------------------------------------------------------- map [61] 50.0% loop [80] 50.0% [67] 222(1.7%) 0(0.0%) ??? ...ket/collects/racket/private/list.rkt:323:18 hash-ref! [69] 100.0% ----------------------------------------------------------------------- map [61] 100.0% [68] 200(1.5%) 0(0.0%) taylor-sqrt ...ck/herbie/src/core/taylor.rkt:346:0 simplify [73] 100.0% ----------------------------------------------------------------------- ??? [76] 3.1% localize-error [22] 3.9% ??? [67] 7.7% for-loop [10] 14.0% ??? [74] 25.1% loop [62] 46.2% [69] 1912(14.4%) 202(1.5%) hash-ref! ...racket/private/more-scheme.rkt:373:13 simplify [73] 35.6% ??? [74] 25.1% ??? [4] 14.0% parse-loop50 [77] 11.6% ??? [76] 3.1% ----------------------------------------------------------------------- hash-update! [65] 100.0% [70] 806(6.0%) 0(0.0%) ??? .../ztatlock/herbie/src/core/egraph.rkt:225:24 for-loop [75] 100.0% ----------------------------------------------------------------------- errors [66] 100.0% [71] 422(3.2%) 422(3.2%) eval-prog ...tatlock/herbie/src/programs.rkt:162:0 ----------------------------------------------------------------------- errors [66] 100.0% [72] 204(1.5%) 204(1.5%) for-loop ...e/ztatlock/herbie/src/points.rkt:147:4 ----------------------------------------------------------------------- taylor-sqrt [68] 11.8% hash-ref! [69] 88.2% [73] 1688(12.7%) 0(0.0%) simplify ...atlock/herbie/src/core/reduce.rkt:18:0 parse-loop50 [77] 76.1% f94 [78] 12.0% debug-print [79] 12.0% ----------------------------------------------------------------------- hash-ref! [69] 100.0% [74] 1286(9.7%) 0(0.0%) ??? ...e/ztatlock/herbie/src/core/taylor.rkt:42:15 hash-ref! [69] 100.0% ----------------------------------------------------------------------- ??? [70] 100.0% [75] 806(6.0%) 806(6.0%) for-loop ...lock/herbie/src/core/egraph.rkt:226:26 ----------------------------------------------------------------------- hash-ref! [69] 100.0% [76] 240(1.8%) 0(0.0%) ??? .../ztatlock/herbie/src/core/taylor.rkt:357:30 hash-ref! [69] 100.0% ----------------------------------------------------------------------- hash-ref! [69] 14.7% parse-loop50 [77] 20.7% simplify [73] 64.5% [77] 1506(11.3%) 1284(9.6%) parse-loop50 ...s/racket/match/compiler.rkt:410:15 parse-loop50 [77] 20.7% loop [80] 9.8% map [61] 4.9% ----------------------------------------------------------------------- f94 [78] 24.9% approximate9 [56] 24.9% simplify [73] 50.2% [78] 402(3.0%) 202(1.5%) f94 ...t/collects/racket/match/compiler.rkt:499:40 f94 [78] 24.9% map [61] 24.9% ----------------------------------------------------------------------- simplify [73] 100.0% [79] 202(1.5%) 202(1.5%) debug-print ...ztatlock/herbie/src/debug.rkt:107:0 ----------------------------------------------------------------------- map-enodes [23] 0.1% parse-loop50 [77] 0.2% make-exacts* [54] 0.2% post-process [15] 0.5% extract-alt [16] 0.9% map [61] 1.9% for-loop [42] 2.5% append-map [28] 2.5% loop! [82] 2.6% loop [80] 88.7% [80] 7958(59.7%) 0(0.0%) loop ...cket/collects/racket/private/map.rkt:26:19 loop [80] 88.7% loop! [82] 2.6% taylor-alt [32] 2.5% curried [88] 2.5% ??? [81] 2.1% simplify [3] 0.9% completely-simplify-alt [5] 0.5% for-loop [84] 0.1% ??? [67] 0.1% ...higher-order.rkt:373:33 [85] 0.1% ->flonum [83] 0.0% ----------------------------------------------------------------------- loop [80] 100.0% [81] 5884(44.2%) 306(2.3%) ??? /home/ztatlock/herbie/src/programs.rkt:168:4 ??? [86] 79.5% real->bigfloat [87] 13.6% ??? [94] 1.7% ----------------------------------------------------------------------- for-loop [47] 16.1% apply-match [33] 28.0% loop [80] 55.9% [82] 620(4.7%) 0(0.0%) loop! .../ztatlock/herbie/src/core/enode.rkt:163:2 loop [80] 55.9% set [91] 16.1% custom-set-union [92] 16.1% update-en-expr [90] 11.8% ----------------------------------------------------------------------- loop [80] 100.0% [83] 390(2.9%) 196(1.5%) ->flonum ...ock/herbie/src/syntax/syntax.rkt:224:0 ??? [97] 49.7% ----------------------------------------------------------------------- loop [80] 100.0% [84] 222(1.7%) 0(0.0%) for-loop ...ock/herbie/src/core/simplify.rkt:161:2 curried [88] 100.0% ----------------------------------------------------------------------- loop [80] 100.0% [85] 222(1.7%) 0(0.0%) ...higher-order.rkt:373:33 (unknown source) ??? [89] 100.0% ----------------------------------------------------------------------- ??? [81] 100.0% [86] 4676(35.1%) 838(6.3%) ??? ...acket/collects/racket/private/kw.rkt:400:14 ??? [93] 82.1% ----------------------------------------------------------------------- ??? [81] 100.0% [87] 800(6.0%) 686(5.1%) real->bigfloat .../private/bigfloat/mpfr.rkt:451:0 ??? [100] 14.2% ----------------------------------------------------------------------- loop [80] 47.4% for-loop [84] 52.6% [88] 422(3.2%) 422(3.2%) curried ...cket/collects/racket/function.rkt:71:18 ----------------------------------------------------------------------- ...higher-order.rkt:373:33 [85]100.0% [89] 222(1.7%) 0(0.0%) ??? ...cts/racket/contract/private/list.rkt:187:10 ??? [94] 100.0% ----------------------------------------------------------------------- loop! [82] 100.0% [90] 220(1.7%) 220(1.7%) update-en-expr ...herbie/src/core/egraph.rkt:211:0 ----------------------------------------------------------------------- loop! [82] 100.0% [91] 200(1.5%) 200(1.5%) set ...collects/racket/private/set-types.rkt:982:0 ----------------------------------------------------------------------- loop! [82] 100.0% [92] 200(1.5%) 0(0.0%) custom-set-union ...et/private/set-types.rkt:168:0 for-loop [95] 100.0% ----------------------------------------------------------------------- ??? [86] 100.0% [93] 3838(28.8%) 0(0.0%) ??? ...-racket/utils/simple-result-arrow.rkt:26:12 bfdiv [96] 68.7% bfsqrt [98] 17.2% ??? [97] 14.1% ----------------------------------------------------------------------- ??? [81] 31.5% ??? [89] 68.5% [94] 324(2.4%) 0(0.0%) ??? ...ects/racket/contract/private/guts.rkt:638:8 ??? [97] 100.0% ----------------------------------------------------------------------- custom-set-union [92] 100.0% [95] 200(1.5%) 0(0.0%) for-loop ...cts/racket/private/set-types.rkt:174:3 for-loop [99] 100.0% ----------------------------------------------------------------------- ??? [93] 100.0% [96] 2636(19.8%) 2180(16.4%) bfdiv ...-lib/math/private/bigfloat/mpfr.rkt:819:4 ??? [100] 17.3% ----------------------------------------------------------------------- ->flonum [83] 18.3% ??? [94] 30.6% ??? [93] 51.1% [97] 1060(8.0%) 420(3.2%) ??? ...tract/private/arrow-higher-order.rkt:373:33 ??? [101] 60.4% ----------------------------------------------------------------------- ??? [93] 100.0% [98] 660(5.0%) 532(4.0%) bfsqrt ...lib/math/private/bigfloat/mpfr.rkt:616:4 ??? [100] 19.4% ----------------------------------------------------------------------- for-loop [95] 100.0% [99] 200(1.5%) 200(1.5%) for-loop ...cts/racket/private/set-types.rkt:178:5 ----------------------------------------------------------------------- real->bigfloat [87] 16.3% bfsqrt [98] 18.3% bfdiv [96] 65.3% [100] 698(5.2%) 698(5.2%) ??? .../share/racket/collects/ffi/unsafe.rkt:861:4 ----------------------------------------------------------------------- ??? [97] 100.0% [101] 640(4.8%) 446(3.3%) ??? ...llects/racket/contract/combinator.rkt:178:4 any-wrap/traverse [102] 30.3% ----------------------------------------------------------------------- ??? [101] 100.0% [102] 194(1.5%) 194(1.5%) any-wrap/traverse ...cket/utils/any-wrap.rkt:106:2 -----------------------------------------------------------------------